A hydraulic antivibration support comprising a first rigid member; a second rigid member; a substantially frusto-conical elastomer body, extending vertically along a central axis between the first and second rigid members, wherein the working chamber and the compensation chamber are partially superposed along said central axis. The elastomer body is adapted to support static loads and defines inwardly a working chamber and partially defines outwardly an annular compensation chamber. The support further includes a flexible annular skirt defining the compensation chamber together with the elastomer body, the flexible skirt being molded as a single piece with the elastomer body, and a rigid covet, sealingly closing at least the working chamber A passage communicates between the working chamber and the compensation chamber, the working chamber, the compensation chamber and the passage being filled with liquid